12804264 has 128 divisors (see below), whose sum is σ = 41212800. Its totient is φ = 3640320.

The previous prime is 12804251. The next prime is 12804269. The reversal of 12804264 is 46240821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12804269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40234 + ... + 40550.

It is an arithmetic number, because the mean of its divisors is an integer number (321975).

Almost surely, 2^12804264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12804264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20606400).

12804264 is an abundant number, since it is smaller than the sum of its proper divisors (28408536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12804264 is a wasteful number, since it uses less digits than its factorization.

12804264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12804264 is about 3578.3046264956. The cubic root of 12804264 is about 233.9473911975.

The spelling of 12804264 in words is "twelve million, eight hundred four thousand, two hundred sixty-four".